Limit problem (Need Help)

This is one of my exercise problem regarding the limit lesson.
The problem: In the theory of relativity, the mass of a particle with velocity v is
where is the mass of the particle at rest and c is the speed of light. What happen as ?

I am thinking that the problem is asking me to find the limit of the equation above as v approaches c from the left, but I cannot get rid of the radical sign. I try to rationalize the denominator, but it does not lead me to an answer which I think is correct.

This is one of my exercise problem regarding the limit lesson.
The problem: In the theory of relativity, the mass of a particle with velocity v is
where is the mass of the particle at rest and c is the speed of light. What happen as ?

I am thinking that the problem is asking me to find the limit of the equation above as v approaches c from the left, but I cannot get rid of the radical sign. I try to rationalize the denominator, but it does not lead me to an answer which I think is correct.

ANY HINT IS APPRECIATED.
Thanks

As v approaches c the denominator tends to 0 which will make the LHS bigger.

This is one of my exercise problem regarding the limit lesson.
The problem: In the theory of relativity, the mass of a particle with velocity v is
where is the mass of the particle at rest and c is the speed of light. What happen as ?

I am thinking that the problem is asking me to find the limit of the equation above as v approaches c from the left, but I cannot get rid of the radical sign. I try to rationalize the denominator, but it does not lead me to an answer which I think is correct.

when you let the limit of m(0) as u approaches 0 from the right, is it to prevent the denominator = 0 so the function is defined? Thanks for the help.

I'm not sure that I follow.

tHE THING IS THAT i REALIZE TWO THINGS
(1.) is constant
and
(2.)

Now, from (2.) I realize that the denominator goes to zero, while from (1.) I realize that this will make the expression as a whole grow withought boud. So I substitute for the denominator , and then study the behavior as

when you let the limit of m(0) as u approaches 0 from the right, is it to prevent the denominator = 0 so the function is defined? Thanks for the help.

I think that I understand what you are asking now. I did not make the substution so that we could make the function defined in any way, I did it so that I wouldn't have to deal with that big ugly denominator while trying to evaluate this particular limit.